[share_ebook] Noncommutative Geometry and Number Theory: Where Arithmetic meets Geometry and Physics
Author: Caterina Consani, Matilde Marcolli
Date: 01704
ISBN: 3834801704
Pages: 380
Language: English
Publisher: Vieweg+Teubner Verlag
Category: Study
Tag: Mathematics
Posted on 20110927, by LionFar.
Description
Title:Noncommutative Geometry and Number Theory: Where Arithmetic meets Geometry and Physics Author:Caterina Consani, Matilde Marcolli Publisher:Vieweg+Teubner Verlag ISBN:3834801704 ISBN13: Date01704 Pages:380 Language:English Format: PDF Size:5.08 MB 

Description:In recent years, number theory and arithmetic geometry have been enriched by new techniques from noncommutative geometry, operator algebras, dynamical systems, and KTheory. This volume collects and presents uptodate research topics in arithmetic and noncommutative geometry and ideas from physics that point to possible new connections between the fields of number theory, algebraic geometry and noncommutative geometry. The articles collected in this volume present new noncommutative geometry perspectives on classical topics of number theory and arithmetic such as modular forms, class field theory, the theory of reductive padic groups, Shimura varieties, the local Lfactors of arithmetic varieties. They also show how arithmetic appears naturally in noncommutative geometry and in physics, in the residues of Feynman graphs, in the properties of noncommutative tori, and in the quantum Hall effect. 

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